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Natali5045456 [20]
2 years ago
7

How do you find a missing side of a triangle using SOH CAH TOA

Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0

Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means \sin \theta=\frac{Opposite}{Hypotenuse}

CAH means \cos \theta =\frac{Opposite}{Hypotenuse}

TOA means \tan \theta=\frac{Opposite}{Adjacent}

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

\tan 60\degree=\frac{\sqrt{3} }{x}

\implies x=\frac{\sqrt{3} }{\tan 60}

x=\frac{\sqrt{3} }{\sqrt{3} } =1

All the other ratio also follow the same pattern

NB: Your calculator in degree should give  \tan 60\degree=\sqrt{3}

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<u>Answer:</u>

x = 14°   ||       each angle has 108°

<u>explanation:</u>

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